Engineering Guide Inch & Metric

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1 Engineering Guide Inch & Metric

2 A comprehensive catalog of UNBRAKO socket screws and related products In this catalog you will find complete information about UNBRAKO socket screws and such related products as shoulder screws, dowel pins, pressure plugs and hex keys. Everything you need to select, specify and order these precision products is at your finger tips except actual prices. Furthermore, all data has been organized to let you find the facts you want with the greatest speed and the least effort. Wherever possible, all data for a particular product is presented in a two-page spread for your convenience. Included in this catalog are: UNBRAKO fastener product descriptions Features and technical data about each product Technical discussions for application and use For prices of stock items, see current UNBRAKO fastener price lists or call your local UNBRAKO fastener distributor. For non-stock items, consult your UNBRAKO fastener distributor, or contact the UNBRAKO Engineered Fastener Group by phone at or by fax on ,or Internet at Commercial and Government Entity (CAGE) Code IMPORTANT Referenced consensus standards can change over time. UNBRAKO products are manufactured in accordance with revisions valid at time of manufacture. This guide refers to products and sizes that may not be manufactured to stock. Please consult an UNBRAKO distributor or UNBRAKO to determine stock status. The technical discussions represent typical applications only. The use of the information is at the sole discretion of the reader. Because applications vary enormously, UNBRAKO does not warrant the scenarios described are appropriate for any specific application. The reader must consider all variables prior to using this information. Products modified other than by UNBRAKO are not guaranteed and not subject to return. LIMITED WARRANTY AND EXCLUSIVE REMEDY SPS Technologies, Inc., through its Unbrako Division warrants that these product conform to industry standards specified herein and will be free from defects in materials and workmanship. THIS WARRANTY IS EXPRESSLY GIVEN IN LIEU OF ANY AND ALL OTHER EXPRESS OR IMPLIED WARRANTIES, INCLUDING ANY IMPLIED WARRANTY OF MER- CHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE, AND IN LIEU OF ANY OTHER OBLIGATION ON THE PART OF SPS TECHNOLOGIES, INC. SPS Technologies, Inc. will, at its option, repair or replace free of charge (excluding all shipping all shipping and handling costs) any products which have not been subject to misuse, abuse, or modification and which in its sole determination were not manufactured in compliance with the warranty given above. THE REMEDY PROVIDED FOR HEREIN SHALL BE THE EXCLUSIVE REMEDY FOR ANY BREACH OF WARRANTY OR ANY CLAIM ARISING IN ANY WAY OUT OF THE MANUFACTURE, SALE, OR USE OF THESE PRODUCTS. In no event shall SPS Technologies, Inc. be liable for consequential, incidental or any other damages of any nature whatsoever except those specifically provided herein for any breach of warranty or any claim arising in any way out of the manufacture, sale, or use of these products. No other person is authorized by SPS Technologies, Inc. to give any other warranty, written or oral, pertaining to the products. Copyright 1996, SPS Technologies

3 TABLE OF CONTENTS UNBRAKO Socket Screw Products Page Quick Selector Guide Inch 2 Socket Head Cap Screws. Alloy Steel and Stainless Steel 4 Low Heads Alloy Steel 11 Shoulder Screws. Alloy Steel 12 Flat Head Socket Screws Alloy Steel and Stainless Steel.. 14, 16 Button Head Socket Screws. Alloy Steel and Stainless Steel.. 15, 16 Square Head Set Screws. Knurled Cup Point 17 Socket Set Screws Alloy Steel and Stainless Steel.. 18 Pressure Plugs Dryseal Pressure Plugs.. 24 LEVL-SEAL Pressure Plugs. 25 PTFE/TEFLON * -coated Levl Seal Pressure Plugs 26 Dowel Pins Standard and Pull-Out Type. 28 Hexagon Keys. Short Arm and Long Arm Wrenches 32 Size Selector Table.. 33 Thread Conversion chart. 34 Metric Table of Contents.. 35 Metric Socket Head Cap Screws. 38 Metric Flat Head Cap Screws. 40 Metric Button Head Cap Screws. 41 Metric Shoulder Screws.. 42 Metric Dowel Pins. 43 Metric Socket Set Screws 44 Metric Low Head Cap Screws 46 Metric Hexagon Keys and Size Selector Table.. 47 Metric Tolerances. 48 Metric Conversion Chart.. 50 Technical Section Table of Contents. 51 NOTE: The proper tightening of threaded fasteners can have a significant effect on their performance. Many application problems such as self-loosening and fatigue can be minimized by adequate tightening. The recommended seating torques listed in the catalog tables serve as guidelines only. Even when using the recommended seating torques, the induced loads obtained may vary as much as ±25% depending upon the uncontrolled variables such as mating material, lubrication, surface finish, hardness, bolt/joint compliance, etc. LEVL-SEAL, AND UNBRAKO are registered trademarks of SPS Technologies *Reg. Du Pont T.M. 1

4 PERFORMANCE (See Note 1) tensile 10 7 cycle operating psi dynamic temperatures TYPES APPLICATIONS/FEATURES (room temp.) fatigue (psi) (unplated) page COUNTERBORED PROTRUDING 190,000 20, F Socket Head Cap Screws 1960 Series Alloy Steel 4 10 Use alloy for maximum tensiles; up to 190,000 psi, highest of any socket cap screw 180,000 Socket Head Cap Screws 1960 Series Stainless Steel Use stainless for corrosive, cryogenic or elevated temperature environments, hygienic cleanliness. 95,000 30, F 4 10 Socket Head Cap Screws Low Head Series Use in parts too thin for standard height heads and where clearance is limited 170,000 20, F 11 Shoulder Screws Tool and die industry standards; also replace costly special partsshafts, pivots, clevis pins, guides, trunnion mountings, linkages, etc. heat treat level psi shear strength in psi 160,000 96, F Flat Head Socket Screws Alloy/ Stainless Uniform, controlled 82 underhead angle for maximum flushness and side wall contact; non-slip hex socket prevents marring of material 160,000 96, F 800 F 14, 16 Button Head Cap Screws Alloy/ Stainless Low heads streamline design, use in materials too thin to countersink; also for non-critical loading requiring heat treated screws 160,000 96, F 800 F NOTE 1: Performance data listed are for standard production items only. Non-stock items may vary due to variables in methods of manufacture. It is suggested that the user verify performance on any non-standard parts for critical applications. 2

5 INCH QUICK SELECTOR GUIDE PERFORMANCE (See Note 1) operating temperatures TYPES APPLICATIONS/FEATURES hardness (unplated) page Square Head Set Screws Half-dog or self-locking cup points only. Use where maximum tightening torques are required Rc 45 (min.) 450 F 17 Socket Set Screws Alloy Steel Fasten collars, sheaves, gears, knobs on shafts. Locate machine parts. Cone, half-dog, flat, oval, cup and self-locking cup points standard Rc F Socket Set Screws Stainless Steel Use stainless for corrosive, cryogenic or elevated temperatures environments. Plain cup point standard. Other styles on special order Rb96-Rc F Pressure Plugs 3/4 Taper Dryseal Features common to 3/4 and 7/8 tapers: Dryseal threads for positive seal without sealing compound; controlled chamfer for faster starting Rc Rb 82 Typical 550 F 800 F 400 F Brass 24, 26 7/8 Taper LEVL-SEAL Pressure Plug LEVL-SEAL plug features: controlled 7/8 tape in 3/4 taper hole seats plug level, flush with surface within 1/2 pitch. LEVL-SEAL plug is an UNBRAKO original Rc Rb 82 Typical 550 F 400 F Brass PTFE/ TEFLON** Coated PTFE/TEFLON coated plugs seal at 60% lower seating torques without tape or compound; install faster at lower cost; smaller sizes can be power installed; LEVL-SEAL plug type for 100% flush seating Rc F (uncoated) Hex Keys Tough, ductile, for high torquing; accurate fit in all types socket screws; size marked for quick identity Rc torsional shear in-lb. min. 1.2 to Dowel Pins (Standard) Formed ends, controlled heat treat; close tolerances; standard for die work; also used as bearings, gages, precision parts, etc. core: Rc calculated shear psi surface 8 micro- 150,000 inch (max) Dowel Pins Pull-Out Type For use in blind holes. Easily removed without special tools. Reusable, Save money. No need for knock-out holes. Same physicals, finish, accuracy and tolerances as standard UNBRAKO dowel pins. surface: Rc 60 (min.) 8 micro- 150,000 inch (max) NOTE 1: Performance data listed are for standard production items only. Non-stock items may vary due to variables in methods of manufacture. It is suggested that the user verify performance on any non-standard parts for critical applications. 3

6 SOCKET HEAD CAP SCREWS Why Socket Screws? Why UNBRAKO? The most important reasons for the increasing use of socket head cap screws in industry are safety, reliability and economy. All three reasons are directly traceable to the superior performance of socket screws vs. other fasteners, and that is due to their superior strength and advanced design. Reliability, higher pressures, stresses and speeds in todays machines and equipment demand stronger, more reliable joints and stronger, more reliable fasteners to hold them together. Rising costs make failure and downtime intolerable. Bigger, more complex units break down more frequently despite every effort to prevent it. This is why the reliability of every component has become critical. Components must stay together to function properly, and to keep them together joints must stay tight. Joint reliability and safety with maximum strength and fatigue resistance. UNBRAKO socket cap screws offer this to a greater degree than any other threaded fastener you can purchase off-the-self. UNBRAKO socket cap screws offer resistance to a greater degree than any other threaded fasteners you can purchase off-the-shelf. TENSILE STRENGTH U.S. standard alloy steel socket head cap screws are made to strength levels of 180,000 and 170,000 psi to current industry standards. However, UNBRAKO socket cap screws are consistently maintained at 190,000 and 180,000 psi (depending on screw diameter). The higher tensile strength of UNBRAKO socket screws can be translated into savings. Using fewer socket screws of the same size can achieve the same clamping force in the joint. A joint requiring twelve 1-3/8 Grade 5 hex heads would need only 7 UNBRAKO socket head cap screws. Use them size for size and there are fewer holes to drill and tap and fewer screws to buy and handle. Smaller diameter socket head cap screws vs. larger hex screws cost less to drill and tap, take less energy to drive, and there is also weight saving. The size of the component parts can be reduced since the cylindrical heads of socket screws need less space than hex heads and require no additional wrench space. FATIGUE STRENGTH Joints that are subject to external stress loading are susceptible to fatigue failure. UNBRAKO socket screws have distinct advantages that give you an extra bonus of protection against this hazard. Three major factors account for the greater fatigue resistance of UNBRAKO socket screws design improvements, mechanical properties and closely controlled manufacturing processes. AUSTENITIC STAINLESS STEEL STANDARD SERIES UNBRAKO stainless socket screws are made from austenitic stainless steel. UNBRAKO stainless screws offer excellent resistance to rust and corrosion from acids, organic substances, salt solutions and atmospheres. Superior properties attained with stainless steel include retention of a high percentage of tensile strength and good creep resistance up to 800 F. without scaling or oxidation, and good shock and impact resistance to temperatures as low as 300 F. non-magnetic Valuable in certain electrical applications. Maximum permeability is 1.2 Can be reduced to 1.02 by bright annealing. cleanliness Corrosion resistant characteristics of UNBRAKO screws are useful in chemical, food processing, appliance, paper, textile, packaging and pharmaceutical industries, as well as laboratories, hospitals, etc. eye-appeal Bright, non-tarnishing qualities add to appearance and salability of many products; are valuable assets to designers. Standard processing of UNBRAKO stainless steel socket screws includes a passivation surface treatment which removes any surface contaminations. 4

7 SOCKET HEAD CAP SCREWS Why Socket Screws? Why UNBRAKO Profile of Extra Strength PROFILE OF EXTRA STRENGTH Deep, accurate socket for high torque wrenching. Knurls for easier handling. Marked for easier identification. Head with increased bearing area for greater loading carrying capacity. Precision forged for symmetrical grain flow, maximum strength. Elliptical fillet doubles fatigue life at critical head-shank juncture. 3-R (radiused-root runout) increases fatigue life in this critical head-shank juncture. SHANK ROOT BODY CONVENTIONAL THREAD RUNOUT Note sharp angle at root where high stress concentration soon develops crack which penetrates into body of the screw. UNBRAKO 3-R (RADIUSED ROOT RUNOUT) THREAD Controlled radius of runout root provides a smooth form that distributes stress and increases fatigue life of thread run-out as a much as 300% in certain sizes. Fully formed radiused thread increases fatigue life 100% over flat root thread forms. Controlled heat treatment produces maximum strength without brittleness. Accurate control of socket depth gives more wrench engagement than other screws, permits full tightening without cracking or reaming the socket, yet provides ample metal in the crucial fillet area for maximum head strength. Controlled head forging, uniform grain flow, unbroken flow lines; makes heads stronger; minimizes failure in vital fillet area; adds to fatigue strength. Contour-following flow lines provide extra shear strength in threads, resist stripping and provide high fatigue resistance. The large root radius UNBRAKO socket screw development doubles fatigue life compared to flat root thread forms. 5

8 SOCKET HEAD CAP SCREWS 1960 Series Dimensions Mechanical Properties H 30 T G "LT" THREAD LENGTH UNB USA A F D APPROX. 45 J LENGTH DIMENSIONS Head markings may vary slightly depending on manufacturing practice. Diamond knurls, UNBRAKO, and UNB are recognized identifications for 1/4 diameter and larger. threads A D G T H J F LT basic per inch nom. screw head diameter body diameter head height filet diameter size dia. UNRC UNRF max. min. max. min. min. min. max. min. nom. max. min basic # # # # # # # # # / / / / / / / / / * / / / / / / / / / / Performance data listed are for standard production items only. Non-stock items may vary due to variables in methods of manufacture. It is suggested that the user verify performance on any non-standard parts for critical applications. * 1-14 is UNRS (special) standard thread form. 6

9 SOCKET HEAD CAP SCREWS 1960 Series Dimensions Mechanical Properties Application Data NOTES Typical values for test specimens: Material: ASTM A574 alloy steel ASTM F837 stainless steel Dimensions: ANSI/ASME B18.3 Elongation in 2 inches: Hardness: Alloy Steel Rc Reduction of area: Stainless Steel Rb 80 Rc 33 Concentricity: Body to head O.D. within 2% of body diameter T.I.R. or.006 T.I.R. whichever is greater. Body to hex socket (sizes through 1/2 ) within 3% of body diameter T.I.R. or.005 T.I.R. whichever is greater; (sizes over 1/2 within 6% of body diameter). The plane of the bearing surface shall be perpendicular to the axis of the screw within a maximum deviation of 1. For body and grip lengths see pages 8 and 9. Thread Class: #0 through 1 dia. 3A; over 1 dia. 2A. Alloy Steel Stainless Steel 10% min. 10% min. 35% min. 30% min. MECHANICAL PROPERTIES ALLOY STEEL STAINLESS STEEL single recommended seating recommended seat- tensile strength tensile yield shear torque* in-lbs tensile strength ing torque* in-lbs pounds strength strength strength pounds single UNRC UNRF nom. psi psi of body tensile tensile shear UNRC UNRF size UNRC UNRF min. min. lbs. min. plain plain UNRC UNRF strength strength strength plain plain # , , ,000 30, # , , ,000 30, # , , ,000 30, # , , ,000 30, #4 1,150 1, , ,000 1, ,000 30, #5 1,510 1, , ,000 1, ,000 30, #6 1,730 1, , ,000 1, ,000 30, #8 2,660 2, , ,000 2, ,330 1,400 95,000 30, #10 3,330 3, , ,000 3, ,660 1,900 95,000 30,000 1, /4 6,050 6, , ,000 5, ,020 3,460 95,000 30,000 2, /16 9,960 11, , ,000 8, ,980 5,510 95,000 30,000 3, /8 14,700 16, , ,000 12, ,360 8,350 95,000 30,000 4, /16 20,200 22, , ,000 17,100 1,200 1,350 10,100 11,300 95,000 30,000 6, /2 27,000 30, , ,000 22,350 1,850 2,150 13,500 15,200 95,000 30,000 8, /16 32,800 36, , ,000 28,300 2,500 2,700 17,300 19,300 95,000 30,000 11, ,050 5/8 40,700 46, , ,000 34,950 3,400 3,820 21,500 24,300 95,000 30,000 13,800 1,270 1,450 3/4 60,200 67, , ,000 47,700 6,000 6,800 31,700 35,400 95,000 30,000 19,850 2,260 2,520 7/8 83,100 91, , ,000 64,000 8,400 9,120 44,000 48,400 95,000 30,000 27,100 3,790 4, , , , ,000 84,800 12,500 13,200 57,600 63,000 95,000 30,000 35,300 5,690 6, , , , ,000 13, /8 137, , , , ,000 14,900 16, /4 175, , , , ,500 25,000 27, /8 208, , , , ,000 33,000 35, /2 253, , , , ,500 43,500 47, /4 342, , , , ,500 71,500 82, , , , , , , , /4 585, , , , , , , /2 720, , , , , , , /4 888,000 1,006, , , , , , ,074,000 1,204, , , , , ,000 *Seating torques for alloy steel calculated in accordance with VDI 2230, Systematic Calculation of High Duty Bolted Joints, to induce approximately 120,000 PSI in the screw threads through inch diameter, and 115,000 PSI over inch diameter. Seating torques for stainless steel are calculated to induce approximately 40,000 PSI stress. Values are for plain screws. For cadmium plated screws, multiply recommended seating torque by.75; for zinc plated screws multiply by See note, page 1. See Technical Guidelines section for additional information on torques, installation, and hole preparation. 7

10 SOCKET HEAD CAP SCREWS 1960 Series Body and Grip Lengths L B L G BODY and GRIP LENGTHS LENGTH LENGTH TOLERANCES up to 1 over 1 to over 2 1/2 diameter incl. 2 1/2 incl. to 6 incl. over 6 #0 thru 3/8 incl /16 to 3/4 incl /8 to 1-1/2 incl over 1 1/ #0 #1 #2 #3 #4 #5 #6 #8 #10 #14 length L G L B L G L B L G L B L G L B L G L B L G L B L G L B L G 3/ / / / / / / / / /2 3 3/ /4 4 1/2 4 3/ /4 5 1/2 5 3/ /4 6 1/2 6 3/ /4 7 1/2 7 3/ / / L B L G L B L G L B

11 SOCKET HEAD CAP SCREWS 1960 Series Body and Grip Lengths L G is the maximum grip length and is the distance from the bearing surface to the first complete thread. L B is the minimum body length and is the length of the unthreaded cylindrical portion of the shank. Thread length for the sizes up to and including 1 diameter shall be controlled by the grip length and body length as shown in the table. For sizes larger than 1 the minimum complete thread length shall be equal to the basic thread length, and the total thread length including imperfect threads shall be basic thread length plus five pitches. Lengths too short to apply formula shall be threaded to head. Complete threads shall extend within two pitches of the head lengths above the heavy line on sizes up to and including 5/8 diameter. Larger diameters shall be threaded as close to the head as practicable. Screws of longer lengths than those tabulated shall have a thread length conforming to the formula for sizes larger than 1. 5/16 3/8 7/16 1/2 9/16 5/8 3/4 7/8 1 L G L B L G L B L G L B L G L B L G L B L G L B L G L B L G L B L G L B

12 FEWER HOLES TO DRILL AND TAP three screws do the work of five COMPACT SPACING clearance for socket wrench no wrench clearance necessary old method 5 3/ ,000 psi tensile 85,000 psi yield = 5 x 85,000 x.0775 = 33,000 lbs. max. load UNBRAKO method 3 3/ ,000 psi tensile 170,000 psi yield = 3 x 170,000 x.0775 = 39,000 lbs. max. load old method 12 3/4-16 hexagon head 120,000 psi tensile strength Total strength = 537,000 lbs. UNBRAKO method 16 3/4-16 socket head cap 180,000 psi tensile strength Total strength = 1,074,200 lbs. HIGH TENSILE AND YIELD STRENGTH HIGH SHEAR STRENGTH ordinary bolts socket head cap screws ordinary bolts socket head cap screws old method 120,000 psi. 1/2-20 bolt tensile = 19,200 lbs. yield = 13,600 lbs. UNBRAKO method 190,000 psi 1/2-20 UNBRAKO tensile = 30,400 lbs. yield = 27,200 lbs. Extra UNBRAKO joint strength: tensile 58% increase yield 100% increase old method 120,000 psi. 1/2-20 bolt Shear strength = 14,100 lbs. UNBRAKO method 190,000 psi. 1/2-20 UNBRAKO Shear strength = 22,400 lbs. Extra UNBRAKO shear strength = 8,300 lbs. less wrenching space needed 10

13 LOW HEAD CAP SCREWS SOCKET HEAD CAP SCREWS Low Head Type Smooth, burr-free sockets, uniformly concentric and usable to full depth for correct wrench engagement. Low head height for thin parts and limited space. High strength, precision fasteners for use in parts too thin for standard height socket cap screw and for applications with limited clearances. Fillet under head increases fatigue life of head-to-shank junction. Class 3A rolled threads with radiused root to increase fatigue life of threads by reducing stress concentrations and avoiding sharp corners where failures start. Highest standards of quality, material, manufacture and performance. LENGTH TOLERANCE over 1 over Diameter to 1 to 2 1/2 2 1/2 All UNB W A MECHANICAL PROPERTIES Material: ASTM A574 alloy steel Hardness: Rc Tensile Strength: 170,000 psi min. Yield Strength: 150,000 psi min. NOTE: Performance data listed are for standard production items only. Non-stock items may vary due to variables in methods of manufacture. It is suggested that the user verify performance on any non-standard parts for critical applications. tensile strength lbs. min. single shear strength in threads recommended* (calculated lbs.) nominal seating torque size UNRC UNRF UNRC UNRF inch-lbs #8 2,380 2,500 1,450 1, #10 2,980 3,400 1,700 2, /4 5,410 6,180 3,090 3, /16 8,910 9,870 4,930 6, /8 13,200 14,900 7,450 9, /2 24,100 27,200 13,600 17, DIMENSIONS basic threads per inch A B F H R nom. screw fillet extension W size diameter UNRC UNRF max. min. basic min. max. min. max. min. nom. # # / / / / Thread Length: On all stock lengths the last complete (full form) thread measured with a thread ring gage extends to within two threads of the head. Threads: Threads are Class 3A UNRC and UNRF. *Torque calculated to include approximately 50,000 psi tensile stress in the screw threads (See Note, page 1). 11

14 SHOULDER SCREWS Dimensions Mechanical Properties Seating Torques Precision hex socket for maximum wrenching strength Knurled head for sure finger grip and fast assembly Neck to allow assembly with minimal chamfering Controlled concentricity between head and body for easier, more accurate assembly Shoulder diameter held to.001 inch tolerance up to 1-1/4 diameter.002 inch tolerance over 1-1/4 diameter Concentricity controlled between body and thread Finished threads close to body for maximum holding power Head sidewall may have straight knurls at mfrs. option T F 32 I E UNB USA A K D G J H LENGTH ± APPROX. DIMENSIONS threads nom. per inch A D T H J K G shoulder thread diameter size UNRC max. min. max. min. min. max. min. nom. min. max. min. 1/ / / / / / / / / NOTE: Performance data listed are for standard production items only. Non-stock items may vary due to variables in methods of manufacture. It is suggested that the user verify performance on any non-standard parts for critical applications. 12

15 SHOULDER SCREWS Dimensions Mechanical Properties Seating Torques APPLICATIONS stationary guide moving shaft or pivot pulley shaft uses Shoulder screws have an undercut portion between the thread and shoulder, allowing a close fit. They re used for a wide range of punch and die operations, such as the location and retention of stripper plates, and act as a guide in blanking and forming presses. Other applications for shoulder screws include: bearing pins for swing arms, links and levers, shafts for cam rolls and other rotating parts, pivots, and stud bolts. Shoulder screws are sometimes referred to as stripper bolts, resulting from their use with stripper plates and springs. MECHANICAL PROPERTIES AND SEATING TORQUES single recom.-* E F I T ult. shear mended tensile strength seating thread strength of body torque length max. max..020 lbs. min. lbs. min. inch-lbs ,220 4, ,160 7, ,060 10, ,600 18, ,810 29, ,670 42,410 1, ,680 75,400 3, , ,800 5, , ,500 12, , ,000 16, , ,500 30,000 *See Note, page 1 NOTES Material: ANSI/ASME B18.3,ASTM A574 alloy steel Heat treatment: Rockwell C 36-43; 160,000 psi tensile strength. Dimensions: ANSI/ASME B18.3 Concentricity: Head to body within.005 T.I.R. when checked in V block equal to or longer than body length. Pitch diameter to body within.004 T.I.R. when held in threaded bushing and checked at a distance of 3/16 from shoulder at threaded end. Shoulder must rest against face of shoulder of standard GO ring gage. Bearing surface of head perpendicular to axis of body within 2 maximum deviation. Tensile strength based on minimum neck area G. Shear strength based on shoulder diameter D. Thread class: 3A Screw point chamfer: The point shall be flat or slightly concave, and chamfered. The plane of the point shall be approximately normal to the axis of the screw. The chamfer shall extend slightly below the root of the thread, and the edge between flat and chamfer may be slightly rounded. The included angle of the point should be approximately

16 FLAT HEAD SOCKET SCREWS Dimensions Deep, accurate socket for maximum key engagement Uniform 82 angle under head for maximum contact Fully formed threads for greater strength and precision fit Continuous grain flow throughout the screw for increased strength Heat treated alloy steel for maximum strength without brittleness or decarburization See page 16 for mechanical properties and applications. LENGTH TOLERANCE over 1 over 2 1/2 Diameter to 1 to 2 1/2 to 6 #0 to 3/8 incl /16 to 3/4 incl /8 to 1 incl Dimensions: ANSI/ASME B18.3 Thread Class: 3A H Z T SOCKET DEPTH (GUAGE DIA.) THREAD LENGTH MAX. -2 IMPERFECT THREADS T SOCKET DEPTH UNB USA A D G J P F HEAD PROTRUSION LENGTH APPROX. 45 MACHINED SOCKET (MANUFACTURER S OPTION) DIMENSIONS and APPLICATION DATA basic threads A D T G protrusion H thd-to-hd P nom. screw per inch head diameter body diameter gage diameter max. max. protrusion F size dia. UNRC UNRF max.* min.** max. min. min. max. min. ref. ref. max. min. max. # # # # # # # # # / / / / / / / / J nom * maximum to theoretical sharp corners **minimum absolute with A flat NOTE: Performance data listed are for standard production items only. Non-stock items may vary due to variables in methods of manufacture. It is suggested that the user verify performance on any non-standard parts for critical application. 14

17 BUTTON HEAD CAP SCREWS Dimensions Precision hex socket for maximum key engagement Low head height for modern streamline design Fully formed threads rolled under extreme pressure provide greater strength Continuous grain flow makes the whole screw stronger Heat treated alloy steel for maximum strength without brittleness or decarburization See page 16 for mechanical properties and applications. LENGTH TOLERANCE to 1 over 1 Diameter incl. to 2 incl. To 1 incl Over 1 to Dimensions: ANSI/ASME B18.3 Thread Class: 3A SOCKET DEPTH T THREAD LENGTH 2 IMPERFECT THREADS SOCKET DEPTH T UNB USA A R D J H S F LENGTH APPROX. 45 MACHINED SOCKET (MANUFACTURER S OPTION) DIMENSIONS and APPLICATION DATA basic threads A D T H thd-to-hd S R F nom. screw per inch head diameter body diameter head height max. fillet dia. J size dia. UNRC UNRF max. min. max. min. min. max. min. ref. max. ref. max. min. # # # # # # # # # / / / / /

18 FLAT HEAD AND BUTTON HEAD SOCKET SCREWS Mechanical Properties NOTES Material: ASTM F835 alloy steel ASTM F879 stainless Hardness: Rc for alloy steel Rb 96 Rc 33 for stainless steel Tensile Strength: 160,000 PSI min. ultimate tensile strength for alloy steel 90,000 PSI min. ultimate tensile strength for stainless steel Heat Treatment: Stainless steel is in cold-worked (CW) condition unless otherwise requested. GENERAL NOTE Flat, countersunk head cap screws and button head cap screws are designed and recommended for moderate fastening applications: machine guards, hinges, covers, etc. They are not suggested for use in critical high strength applications where socket head cap screws should be used. MECHANICAL PROPERTIES 16 ALLOY STEEL STAINLESS STEEL ultimate seating torque ultimate tensile seating torque single shear single shear nom. strength lbs. inch-lbs.* strength lbs. inch-lbs.* strength of strength of size UNRC UNRF body lbs. min. UNRC UNRF UNRC UNRF body lbs. min. UNRC UNRF # # # # #4 1,040 1, #5 1,260 1,310 1, #6 1,440 1,620 1, #8 2,220 2,240 2, ,260 1, #10 2,780 3,180 2, ,575 1, /4 5,070 5,790 4, ,862 3,276 1, /16 8,350 9,250 7, ,716 5,220 2, /8 12,400 14,000 10, ,975 7,900 3, /16 16,900 18,900 14, ,570 10,680 4, /2 22,800 25,600 18, ,000 12,770 14,390 6, /16 28,900 32,300 23,900 1,200 1,360 16,300 18,300 8, /8 36,000 40,800 29,450 1,700 1,900 20,300 23,000 10,100 1,060 1,200 3/4 53,200 59,300 42,400 3,000 3,200 30,100 33,600 14,500 1,880 2,100 7/8 73,500 81,000 57,700 5,000 5,400 41,500 45,800 19,700 3,030 3, , ,000 75,400 7,200 7,600 54,500 59,700 25,800 4,550 5,000 *Torques values listed are for plain screws to induce 65,000 psi stress in alloy steel and 30,000 psi tensile stress in stainless steel screw threads. For cadmium plated screws, multiply recommended seating torque by.75; for zinc plated screws multiply by See Note, page 1.

19 SQUARE HEAD SET SCREWS Dimensions Application Data Heat treated alloy steel for maximum strength without brittleness or decarburization Fully formed threads with continuous grain flow for greater strength and precision fit Knurled cup point for positive self-locking and vibration resistance Threads per ANSI B 1.1; Handbook H-28. ANSI B VIBRATIONAL HOLDING POWER vs. SEATING TORQUE Size: 5/16 18x1/2 GREATER TIGHTENING TORQUES of UNBRAKO Square Heads, made of high quality alloy steel, provide 50% more axial holding power than ordinary carbon steel square heads. And, because of the increased torque plus the Knurled Cup Point, UNBRAKO Square Head Set Screws deliver up to 400 percent more Vibrational Holding Power. Seconds VIBRATIONAL HOLDING POWER (Endurance) 400% more Vibrational Holding Power UNBRAKO ALLOY STEEL SQUARE HEADS 200 CARBON STEEL SQUARE HEADS (Plain Cup Point) 0 SEATING TORQUE (Inch Lbs.) DIMENSIONS and APPLICATION DATA SELF-LOCKING KNURLED CUP POINT INTERNAL OR EXTERNAL KNURL FURNISHED AT UNBRAKO OPTION NOTES Material: ASTM A574 alloy steel Heat treatment: Rc 45 min., through heat treated Thread: Class 2A. These torques are appreciably higher than socket set screw torque values, therefore thread stripping strength of mating material must be considered. (Not recommended in standard collars.) basic threads A C D F H R W recom.** nom. screw per torque size diameter inch min. max. min. max. min. ±.010 max. min. nom. max. min. inch-lbs. # * * 31/ / / / / / / / / ,350 1/ / ,100 9/ / ,850 5/ / ,250 3/ / ,700 7/ / , / , / / , / / , / / , / / ,000 *#10 may have head dimensions from 1/4 nominal size furnished at Unbrako option. **See Note, page 1. LENGTH TOLERANCE up to 1 1 to 2 2 and Diameter incl. incl. over up to 5/ /4 and over

20 SOCKET SET SCREWS Dimensions Application Data Seating Torques T APPROX. 45 LENGTH TOLERANCE A C and over.63 over 2 Diameter under to 2 to 6 over 6 All ±.01 ±.02 ±.03 ±.06 J APPROX. 30 LENGTH SEE NOTE SEE NOTE** APPROX. 45 APPROX. 45 APPROX. 45 Q C C P 90 C R SEE NOTE** PLAIN CUP FLAT HALF-DOG SEE NOTE 1 CONE SEE NOTE 2 KNURLED CUP OVAL DIMENSIONS basic nom. screw threads per inch A C P size diameter UNRC UNRF max. UNRC UNRF max. min. max. min. # # # # # # # # # / / / / / / / / / / / / / NOTE: Performance data listed are for standard production items only. Non-stock items may vary due to variables in methods of manufacture. It is suggested that the user verify performance on any non-standard parts for critical applications. 18

21 SOCKET SET SCREWS Dimensions Application Data Seating Torques Radiused socket corners Rounded corners resist cracking and allow UNBRAKO set screws to withstand high tightening torques Deep socket Key fits deeply into socket to provide extra wrenching area for tighter tightening without reaming the socket or rounding off corners of key Continuous grain flow Flow lines of rolled threads follow closely the contour of the screw Fully formed threads are rolled, not cut or ground. Metal is compressed, making it extra strong. Threads resist shearing, withstand higher tightening torques Class 3A threads Formed with closest interchangeable fit for maximum crosssection with smooth assembly. Assure better mating of parts Balanced heat treatment It s customized to individual lots of screws for uniform hardness, assuring maximum strength without brittleness Counterbored knurled cup point Exclusive UNBRAKO self-locking point provides 5 times greater vibrational holding power than other knurled points NOTES Material: ASTM F912 alloy steel ASTM F880 stainless steel Dimensions: ASME/ANSI B18.3 Hardness: Rc (alloy steel only), Rb 96-Rc 33 (stainless steel) Thread class: 3A 1. When length equals nominal diameter or less, included angle is 118. (#4 x 1/8 and #8 x 3/16 also have 118 angle) 2. When length equals nominal diameter or less, included angle is 130. DIMENSIONS RECOMMENDED SEATING TORQUES INCH-LBS.** Q T* J R Applicable only to nominal minimum lengths shown or longer nom. min. min. key max. min. min. nom. basic alloy steel stainless screw length engagement / / / / / / / / / / / / / / / , / ,400 1,700 3/ ,600 3,000 3/ ,000 4,000 7/ ,200 5, ,600 7, / ,600 7, / ,320 9, /4.750 *CAUTION: Values shown in column T are for minimum stock length cup point screws. Screws shorter than nominal minimum length shown do not have sockets deep enough to utilize full key capability which can result in failure of socket, key or mating threads. **See Note, page 1. 19

22 SOCKET SET SCREWS Point Selection According to Application Socket set screws offer three types of holding power: torsional (resistance to rotation); axial (resistance to lateral movement); and vibrational. Size selection is an important factor in holding power. The screw diameter should be roughly 1/2 that of the shaft as a rule-of-thumb. (For more specific size data see pages ) Additional design considerations appear below. Holding power is almost directly proportional to seating torque in a cup, flat, and oval point screws. Holding power can be increased by increasing seating torque. Greater holding power reduces the number of screws required and the assembled cost of the application. By its penetration, the set screw point can add as a much as 15% to total holding power. Cone points, with deepest penetration, give the greatest increase; oval points, with minimum penetration, the least. Making 1 the index for cup point, holding power values from tables on pages 22 and 23 can be multiplied by 1.07 for cone point, 0.92 for flat or dog points, and 0.90 for oval point. Relative hardness between set screw and shaft is also a factor. A 10-point differential between the screw s normal Rockwell C 50 and shaft should be maintained for full holding power. As much as 15% loss in holding power can result from a lower differential. Vibration resistance can be achieved by correct size and proper tightening. The UNBRAKO knurl cup set screw offers additional mechanical locking resistance when required. POINT SELECTION According to Application Point selection is normally determined by the nature of the application materials, their relative hardness, frequency of assembly and re-assembly and other factors. Reviewed here are standard point types, their general features and most frequent areas of application of each type. knurled cup For quick and permanent location of gears, collars, pulleys or knobs on shafts. Exclusive counterclockwise locking knurls resist screw loosening, even in poorly tapped holes. Resists most severe vibration. plain cup Use against hardened shafts, in zinc, die castings and other soft materials where high tightening torques are impractical. 20

23 SOCKET SET SCREWS Point Selection According to Application STAINLESS STEEL ADVANTAGES Corrosion resistance, Wide temperature range ( 300 F to +800 F), Freedom from scaling or oxidation. Non-magnetic, a valuable property in certain electrical and electronic applications. (Maximum permeability is 1.2 and can be reduced to 1.02 by bright annealing.) Corrosion-resistance useful where cleanliness is important. Standard processing of these socket set screws includes a passivation treatment which neutralizes surface contamination. flat Use where parts must be frequently re-set, as it causes little or no damage to part it bears against. Can be used against hardened shafts (usually with ground flat for better contact) and as adjusting screw. Preferred for thin wall thickness and on soft plugs. oval Use for frequent adjustment without deformation of part it bears against, also for seating against an angular surface. Circular U-grooves or axial V-grooves sometimes put in shaft to permit rotational or longitudinal adjustment. cone For permanent location of parts. Deep penetration gives highest axial and holding power. In material over Rockwell C15 point is spotted to half its length to develop shear strength across point. Used for pivots and fine adjustment. half dog Used for permanent location of one part to another. Point is spotted in hole drilled in shaft or against flat (milled). Often replaces dowel pins. Works well against hardened members or hollow tubing. 21

24 SOCKET SET SCREWS Torisional and Axial Holding Power SIZE SELECTION OF SOCKET SET SCREWS The user of a set-screw-fastened assembly is primarily buying static holding power. The data in this chart offers a simplified means for selecting diameter and seating torque of a set screw on a given diameter shaft. Torsional holding power in inch-pounds and axial holding power in pounds are tabulated for various cup point socket screws, seated at recommended installation torques. Shafting used was hardened to Rockwell C15. Test involved Class 3A screw threads in Class 2B tapped holes. Data was determined experimentally in a long series of tests in which holding power was defined as the minimum load to produce inch relative movement of shaft and collar. From this basic chart, values can be modified by percentage factors to yield suitable design data for almost any standard set screw application. HOLDING POWER (percent of single set screw assembly) Fig. 1 ANGLE BETWEEN SCREWS, a (deg.) a axial shaft diameter (shaft hardness Rc 15 to Rc 35) nom. seating holding torque power 1/16 3/32 1/8 5/32 3/16 7/32 1/4 5/16 3/8 7/16 1/2 9/16 size inch-lbs. (pounds) torsional holding power inch-lbs. # # # # # # # # # /4 87 1, / , / , / , / , / , /8 1,325 4,000 3/4 2,400 5,000 7/8 3,600 5, ,000 6, NOTES Tabulated axial and torsional holding powers are typical strengths and should be used accordingly, with specific safety factors appropriate to the given application and load conditions. Good results have been obtained with a factor of under static load conditions (i.e., where a collar is supporting a vertical load on a post) and of for various dynamic situations. Values in bold type in the chart indicate recommended set screw sizes on the basis that screw diameter should be roughly one-half shaft diameter. TORSIONAL and AXIAL HOLDING POWER (Based on Recommended Seating Torques Inch-Lbs.)

25 SOCKET SET SCREWS Torsional and Axial Holding Power If you know set screws, you know that the tighter you can tighten them, the better they hold and the more they resist loosening from vibration. But there s a limit to how much you can tighten the average socket set screw. If you re not careful, you can ream or crack the socket, and in some cases, even strip the threads. So you re never quite sure whether or not it will actually stay tight. With UNBRAKO set screws it s a different story. A unique combination of design and carefully controlled manufacturing and heat treating gives these screws extra strength that permits you to tighten them appreciably tighter than ordinary screws with minimal fear of reaming or cracking the socket. this extra strength represents a substantial bonus of extra holding power and the additional safety and reliability that goes with it. Design Deeper UNBRAKO sockets give more key engagement to let you seat the screws tighter. Corners are radiused to safeguard against reaming or cracking the socket when the extra tightening torque is applied. The sharp corners of other set screws create high stress concentrations and can cause cracking, even at lower tightening torques. By eliminating the corners, the radii distribute tightening stresses to reduce the chance of splitting to a minimum. Controlled Manufacturing The fully-formed threads of UNBRAKO set screws are rolled under extreme pressure to minimize stripping and handle the higher tightening torques. Also, with rolled threads, tolerances can be more closely maintained. UNBRAKO set screws have Class 3A threads, closest interchangeable fit, giving maximum cross-section with smooth assembly. The thread form itself has the radiused root that increases the strength of the threads and resistance to shear. Controlled Heat Treatment This is the third element of the combination. Too little carbon in the furnace atmosphere (decarburization) makes screws soft, causing reamed sockets, stripped threads and sheared points when screws are tightened. Too much carbon (carburization) makes screws brittle and liable to crack or fracture. The heat treatment is literally tailored to each heat of UNBRAKO screws, maintaining the necessary controlled Rc hardness for maximum strength. Finally, point style affects holding power. As much as 15% more can be contributed, depending on the depth of penetration. The cone point (when used without a spotting hole in the shaft) gives greatest increase because of its greater penetration. The oval point, with the least contact area, affords the least. The cup point lies in between, but is by far the most commonly used, because of the wide range of applications to which it is adaptable. However, there is one cup point that can give you both a maximum of holding power and of resistance to vibration. It is the exclusive UNBRAKO knurled cup point, whose locking knurls bite into the shaft and resist the tendency of the screw to back out of the tapped hole. The chart on this page shows clearly how much better the UNBRAKO set screws resist vibration in comparison with plain cup point set screws. UNBRAKO knurled cup point self-locking set screws give you excellent performance under conditions of extreme vibration. UNBRAKO SOCKET SET SCREWS UNRC or UNRF Thread Seated Against Steel Shaft axial shaft diameter (shaft hardness Rc 15 to Rc 35) nom. seating holding torque power 5/8 3/4 7/ /4 1 1/2 1 3/ / /2 4 size inch-lbs. (pounds) torsional holding power inch-lbs. # # # # # # # # # /4 87 1, / , / , / , / , / , /8 1,325 4, /4 2,400 5, /8 3,600 5, ,000 6,

26 PRESSURE PLUGS DRYSEAL TYPE with 3/4-inch taper per foot Precision hex socket with maximum depth for positive wrenching at higher seating torques Dryseal-thread form achieves a seal without need for compound Heat treated alloy steel for strength Roundness-closely controlled for better sealing Uniform taper of 3/4 inch per foot Controlled chamfer for faster starting Threads NPTF per ANSI B See Notes on page 25 See Application Data on page 26 DIMENSIONS nominal thread threads A F G L W X basic thread dimension size per in. ref. min. min. ±.010 nom. note 4 E 0 E 1 L 1 1/ / / / / / / / / / / ** / ** **.750 for LEVL-SEAL 24

27 PRESSURE PLUGS LEVL SEAL TYPE Dryseal Thread Form with 7/8-inch per foot Precision hex socket with maximum depth for positive wrenching at higher seating torques Heat treated alloy steel for strength Roundness closely controlled for better sealing High pressure is developed through a deliberate difference of taper between the plug and the tapped hole having standard 3/4 taper Flush seating is achieved through closer control of thread forms, sizes and taper-improves safety and appearance. Fully formed PTF dryseal threads for better sealing without the use of a compound Controlled chamfer for faster See Application Data on page 27 DIMENSIONS* nominal L E thread A F G note 3 size ref. min. min..015 ref. 1/ / / / / / / / See page 24 for threads per inch, w nom., and X. *Dimensions before coating for PTFE/TEFLON-coated LEVL-SEAL pressure plugs. NOTES 1. Material: ASTM A574 alloy steel, austenitic stainless steel or brass. 2. Hardness: Rc for steel. 3. Basic pitch diameter: E-pitch dia. at a distance of one-half pitch from large end of plug. PTF thread from 7/8-inch taper per foot. E0 pitch diameter at small end of plug; E1 pitch diameter at L1 distance from end of plug; L1 length of hand-tight engagement. 4. Bottom of plug to be flat within X T.I.R. DRY-SEAL and LEVL-SEAL: Small end of plug to be flush with face of standard NPTF ring gages within one thread (L1, L2 and tapered ring). Large end of plug to be flush with face of special 7/8 taper ring gages within one-half thread. 5. Undercut in socket at mfrs. option 6. Six equally spaced identification grooves (1/16-27 plug to have 3 identification grooves) on alloy steel plugs. (LEVL-SEAL) 7. Dimensions apply before plating and/or coating. 25

28 PRESSURE PLUGS Application Data Pressure plugs are not pipe plugs. Pipe plugs (plumber s fittings) are limited to pressures of 600 psi, are sealed with a compound, and are made of cast iron with cut threads and protruding square drive. Pressure plugs are made to closer tolerances, are generally of higher quality, and almost all have taper threads. Properly made and used, they will seal at pressures to 5000 psi and without a sealing compound (pressure tests are usually at 20,000 psi.) they are often used in hydraulic and pneumatic designs. Performance Requirements Pressure plugs used in industrial applications should: not leak at pressures to 5000 psi need no sealing compounds be reusable without seizure give a good seal when reused seal low viscosity fluids require minimum seating torque require minimum re-tooling or special tools. For a satisfactory seal, the threads of the plug and those in the mating hole must not gall or seize up to maximum possible tightening torque. Galling and seizure are caused by metal pickup on the mating surfaces and are directly related to force on the surface, material hardness, lubrication used, and thread finish. How Pressure Plugs Seal Sealing is achieved by crushing the crest of one thread against the root of the mating thread. If too much of compressive force is required to torque the plug, it will tend to gall in the hole. Too little force will not deform the crest of threads enough to produce a seal. Increasing the hardness of the material will reduce galling but will also increase the required sealing force. Generally a hardness range of Rc 30 to 40 will meet most requirements. The tightening force must be low enough to cause no galling in this range. Cost Considerations Dryseal plugs are more frequently used, especially where reuse is frequent. Reason: more threads are engaged and they therefore resist leakage better. They are also preferred in soft metals to reduce of over-torquing. TYPES OF PRESSURE PLUG THREADS Three thread forms are commonly used for pipe plugs and pressure plugs: NPT: National Pipe thread, Tapered. This is the thread form commonly used for commercial pipe and fittings for low pressure applications. A lubricant and sealer are generally used. ANPT: Aeronautical National Pipe thread, Tapered. Covered by MIL-S- 7105, this thread form was developed for aircraft use. It is basically the same as the NPT thread except that tolerances have been reduced about 50 percent. Plugs made with this thread should be used with lubricants and sealers. They are not to be used for hydraulic applications. NPTF: National Pipe thread, Tapered, Fuel. This is the standard thread for pressure plugs. They make pressuretight joints without a sealant. Tolerances are about 1/4 those for NPT threads. The standard which applies is ANSI B Applicable for fluid power applications. APPLICATION DATA DRYSEAL TYPE threads tap tap recommended nom. per drill drill torque size inch size+ size ++ in.-lbs* 1/ /64 1/ / /64 11/ / /64 7/ /8 18 9/16 37/ / /16 23/ / /64 59/ /2 1 1/8 1 5/ /4 11 1/2 37.5mm /2 11 1/2 43.5mm /2 2 3/ Unbrako recommends using a tapered reamer with corresponding size tap drill (see page 27). +With use of reamer (taper thread). ++Without use of tapered reamer. *Recommended torques for alloy steel only. Multiply by.65 for stainless steel and.50 for brass. NPTF fully formed Dryseal threads achieve seal in tapped holes without need for sealing compounds. 26

29 PRESSURE PLUGS PTFE/TEFLON-Coated LEVL-SEAL Type Dryseal Thread Form with 7/8-inch Taper per Foot Deliberate difference in taper between the plug and the tapped hole. Ideal for use in assemblies where clearance is limited and in hydraulic lines near moving parts. Designed for use in hard materials and in thick-walled sections as well as for normal plug applications. internal root crushes NPTF external crest here INTERNAL THREADS (HOLE) PLUG external root crushes internal crest here High pressure seal Achieved through metal-to-metal contact at the large end of the plug. High load placed on the few mating threads near the top of the hole. Flush seating Design of LEVL-SEAL plug permits seating within half a pitch in a normally tapped hole. Conventional plugs have the greater tolerance of a full pitch and usually protrude above the surface. PTF fully formed Dryseal threads designed to achieve seal in tapped holes without need for sealing compounds. PTFE/TEFLON Coated LEVL-SEAL Type Typical thickness is inch LEVL-SEAL precision coated with tough, corrosion-resistant PTFE/TEFLON. Installation of the new plugs is faster with the coating of PTFE/TEFLON which acts as a lubricant as well as seal. Power equipment can be used to install the smaller sizes instead of the manual wrenching required by higher torques of uncoated plugs. Suited for in assembly line production. Higher hydraulic and pneumatic working pressures can be effectively sealed. Seal is effective without use of tapes or sealing compounds, even with liquids of very low viscosity. SPS Laboratories have tested these plugs with surges up to 13,500 psi 8 times in 5 minutes, then held peak pressure for 6 full hours without trace of leakage. Flush seating improves appearance and adds safety. LEVL-SEAL plugs seat flush because of a combination of (1) gaging procedures, and (2) a deliberate difference in taper between the plug and a normally tapped NPTF hole. (The taper of the plug is 7/8 per foot, while that of the hole is 3/4 per foot.) PTFE/TEFLON was selected for the coating material because of its combination of extra hardness and abrasion resistance which permit reuse up to 5 times without appreciable loss of seal. The coating is serviceable to +450 F without deterioration. Temperatures lower than 100 F require the use of stainless steel plugs. These are available in the same range of sizes as the alloy steel plugs. With no tape or sealing compound involved, there is no danger of foreign matter entering and contaminating the system or equipment. The coating reduces any tendency of the plug to freeze in the hole because of rust or corrosion. APPLICATION DATA LEVL-SEAL and LEVL-SEAL with PTFE/TEFLON recommended hole diameter tapping information imperfect recommended nom. threads tap projection thru L 1 ring threads tap* drill torque (inch-lbs.) size per inch max. min. max. min. allowable size alloy steel** 1/ / / / / / / / / / / / / / /4 11 1/ mm /2 11 1/ mm / / *For taper thread (using tapered reamer). For tap drill size (without using tapered reamer) see table and corresponding comment on page 26. **Maximum for PTFE/TEFLON-coated but can be reduced as much as 60% in most applications. 27

30 DOWEL PINS Dimensions Application Data Formed ends resist chipping Surface hardness: Rockwell C 60 minimum Surface finish: 8 microinch maximum Core hardness: Rockwell C Case depth:.020-inch minimum Shear strength: 150,000 psi (calculated based on conversion from hardness) Heat treated alloy steel for strength and toughness Held to precise tolerance by automatic gaging and electronic feed-back equipment Material, Heat Treatment, Dimensions: ASME B inch oversize typically used for first installation inch oversize typically used after hole enlarges. Installation Warning Do not strike. Use safety shield or glasses when pressing chamfered end in first. Single shear load calculated as 150,000 psi x π (nom. A) D R A B LENGTH - ±.010 DIMENSIONS and APPLICATION DATA 28 A B D R calculated recommended single shear hole size.0002 over nom..001 over nom. strength (.0002 over nom.) nom. max. min. max. min. max. min. min. (pounds) max. min. 1/ / , / , / , / , / , / , / , / , / , / , / , / , / , ,

31 DOWEL PINS Dimensions Application Data Continuous grain flow resists chipping of ends. Precision heat treated for greater strength and surface hardness. Chamfered end provides easier insertion in hole. Surface finish to 8 microinch maximum. APPLICATIONS Widely used as plug gages in various production operations, and as guide pins, stops, wrist pins, hinges and shafts. Also used as position locators on indexing machines, for aligning parts, as feeler gages in assembly work, as valves and valve plungers on hydraulic equipment, as fasteners for laminated sections and machine parts, and as roller bearings in casters and truck wheels. 29

32 PULL-OUT DOWEL PINS Dimensions Application Data Tapped hole for easy pull-out (ANSI B1.1) Exclusive spiral grooves afford uniform relief for insertion and removal, reduce chances of hole-scoring Surface hardness-rockwell C60 minimum Surface finish-8 microinch maximum Core hardness-rockwell C Shear strength: 150,000 psi (calculated based on conversion from hardness) Heat treated alloy steel for strength and toughness Held to precise tolerance.0002-inch on diameter and roundness to 50 millionths of an inch (T.I.R.) Formed ends resist chipping Material and Heat Treatment: ASME B Single shear load calculated as 150,000 psi x π (nom. A) B DIA. A DIA. THREADS PER ANSI B1.1 DIMENSIONS and APPLICATION DATA B A D P T X calculated single recommended shear hole diameter size thread note 1 strength nom. size max. max. min. min. max. min. note 2 (pounds) max. min. 1/4 #8-32 UNC-2B /16 7, /16 #10-32 UNF-2B /2 11, /8 #10-32 UNF-2B /16 16, /16 #10-32 UNF-2B /8 22, /2 1/4-20 UNC-2B /4 29, /8 1/4-20 UNC-2B /4 46, /4 5/16-18 UNC-2B /16 66, /8 3/8-16 UNC-2B /16 90, /8-16 UNC-2B /16 117, NOTES 1. Lengths equal to or shorter than P max. values may be drilled through. 2. Point angle (approx.) 5 on point for lengths equal to or longer than X. For shorter lengths, use 15 angle. 30

33 PULL-OUT DOWEL PINS Dimensions Application Data 5 WAYS TO SAVE UNBRAKO Pull-Out Dowel Pins are easier, more accurate and more economical than do-it-yourself modifications of standard dowels. They save you money FIVE ways: 1. YOU SAVE COST OF SEPARATE KNOCK-OUT HOLES IN BLIND HOLES WHERE PINS MUST BE REMOVED. UNBRAKO pull-out pins are easy to install in blind holes, easy to remove. Exclusive spiral grooves release trapped air for insertion or removal without danger of hole-scoring. 2. YOU MUST SAVE COST OF NEW PINS EACH TIME DIE IS SERVICED OR DISMANTLED. UNBRAKO pull-out dowel pins are reusable. The hole tapped in one end for a removal screw or threaded puller makes it easy and fast to remove the pin without damage to pin or hole, permits repeated re-use. 3. YOU SAVE MONEY IN REDUCED DOWNTIME AND LOSS OF PRODUCTION UNBRAKO pull-out dowel pins speed up die servicing and reworking. You can remove them without turning the die over, and you can take out individual sections of the die for rework or service without removing entire die assembly from the press. 4. YOU SAVE MODIFICATIONS COSTS, YOU AVOID HEADACHES AND YOU SAVE YOUR SKILLED PEOPLE FOR PROFITABLE WORK. UNBRAKO pull-out dowel pins have tapped holes and relief grooves built in. Time-consuming do-it-yourself modification of standard pin eliminated. No need for annealing (to make pins soft enough to drill and tap) and re-hardening, which can result in damage to finish, and in inaccuracies and distortion. 5. YOU SAVE TIME AND MONEY BECAUSE OF THIS QUALITY REPEATABILITY. NO SPECIAL PREPARATION OF INDIVIDUAL HOLES NEEDED-YOU CAN BE SURE OF ACCURATE FIT EVERY TIME. UNBRAKO pull-out dowel pins are identical and interchangeable with standard UNBRAKO dowels. They have the same physical, finish, accuracy and tolerances. And they are consistently uniform. Their exclusive spiral relief grooves provide more uniform relief than other types of removable pins, assuring more uniform pull-out values. You don t need any special tools to remove UNBRAKO pull-out dowels-just an ordinary die hook and a socket head cap or button head socket screw. 31

34 HEX KEYS Dimensions Mechanical Properties Screw Size Table Accurately sized across flats and corners to insure snug fit and full wall contact Heat treated alloy steel-key is hard, tough and ductile clear through for longer life and retention of dimensional accuracy Size stamped for easy identification 5/64-1 across flats Square cut end engages the socket full depth for better tightening of screw GGG-K-275. ANSI B18.3 C B DIMENSIONS MECHANICAL PROPERTIES key size C B W length of long arm length of short arm torsional short series long series shear torsional strength yield max. min. max. min. max. min. 6 long arm max. min. inch-lbs. min. inch-lbs. min / / / / / / / / / / / ,600 1,370 3/ ,630 2,260 7/ ,500 3,870 1/ ,300 5,420 9/ ,900 7,650 5/ ,200 10,500 3/ ,500 16,800 7/ ,000 24, ,500 37, / ,900 62, / , , / , , , ,000 32

35 HEXAGON KEYS Why UNBRAKO keys tighten socket screws tighter, safely An UNBRAKO key is not an ordinary hexagon key it is a precision internal wrenching tool of great strength and ductility. With an UNBRAKO key, far more tightening torque than is needed can be applied without damaging the screw or the key, and it can be done safely. This is an important feature, especially true of the smaller sizes (5/32 and under) which are normally held in the hand. Photographs of a destruction test show what we mean. Under excessive torque a 5/64 UNBRAKO key twists but does not shear until a torque has been reached that is approximately 20% greater than can be applied with an ordinary key. At his point it shears off clean, flush with the top of the socket, leaving no jagged edge to gash a hand. Still the UNBRAKO screw has not been harmed. The broken piece of the key is not wedged into the socket. It can be lifted out with a small magnet, convincing proof that the socket has not been reamed or otherwise damaged. NOTE: The use of an extension in these illustrations is for demonstration purposes only. The manufacturer does not recommend the use of extensions with any hex key product under normal conditions. A 5/64 UNBRAKO key will twist up to 180 without weakening. Twisted to about 270, the key shears off clean. Note the extension bar illustrated for test purposes only. The socket hasn t been reamed or damaged. Broken section can be lifted out with a magnet. SCREW SIZE SELECTOR TABLE 1960 Series low heads socket button flat and socket head head head shoulder set pressure* cap screws screws screws screws screws plugs #0 #0 #0 #1, #2 #0 #1,#2 #1,#2 #3, #4 #1 #3,#4 #3, #4 #5,#6 #2,#3 #5,#6 #5,#6 #8 #4,#5 #8 #8 #10 #6 #10 #10 1/4 1/4 #8 #10 1/4 1/4 5/16 5/16 1/16 1/4 5/16 5/16 3/8 3/8 1/8 3/8 3/8 7/16 5/16 7/16 1/2 1/2 1/4 3/8 1/2 1/2, 9/16 5/8 5/8 3/8 7/16,1/2 5/8 5/8 3/4 3/4 1/2 9/16 5/8 3/4 7/8, 1 7/8 7/8 1, 1/8 3/4 3/ /4 1 1/4, 1 3/8 1 7/8,1 1 1/2 1-1/4, 1-1/2 1 1/8, 1 1/4 1 1/2 1 3/8, 1 1/2 1 3/4 1/2,2 1 3/ /4, 2 1/2 2 3/4 NOTES Material: ANSI B18.3, GGG-K-275, alloy steel Heat treat: Rc *1-1/2 LEVL-SEAL has 3/4 socket, 1-1/2 DRYSEAL has 1 socket. 33

36 THREAD CONVERSION CHARTS DIAMETER/THREAD PITCH COMPARISON INCH SERIES METRIC Size Dia. (In.) TPI Size Dia.(In.) Pitch (mm) TPI (Approx) # M # M # M # # M # # M # # M M / / M / M / M / M / M / M / M M

37 TABLE OF CONTENTS UNBRAKO Socket Screw Products (Metric) Page Metric Standards.. 36 Socket Head Cap Screws. Standards Alloy Steel. 38 Low Heads Alloy Steel 46 Flat Head Socket Screws Alloy Steel 40 Button Head Socket Screws. Alloy Steel 41 Shoulder Screws. Alloy Steel 42 Dowel Pins Standards Alloy Steel.. 43 Socket Set Screws Alloy Steel 44 Low Head Cap Screws Low Heads Alloy Steel 46 Hex Keys.. Alloy Steel 47 ISO Tolerances. 48 Conversion Chart

38 UNBRAKO Metric Fasteners UNBRAKO Metric Fasteners are the strongest off-the-shelf threaded fasteners you can buy. Their exclusive design features and closely controlled manufacturing processes insure the dimensional accuracy, strength and fatigue resistance needed for reliability in today s advanced technology. They are manufactured with the same methods and features as their inch-series counterpart. Strength UNBRAKO metric socket head cap screws are made into property class 12.9 with a minimum ultimate tensile strength of 1300 or 1250 MPa depending on screw diameter. Precision in manufacturing and careful control in stress areas insure strength in such critical areas as heads, sockets, threads, fillets, and bearing areas. When you purchase UNBRAKO metric socket screw products, you can be sure that they meet or exceed the strength levels of all current standards, including the three most common-ansi, ISO and DIN. Unbrako is represented on several ASME, ANSI, ASTM and ISO committees. ANSI (American National Standards Institute) documents are published by ASME (The American Society of Mechanical Engineers) and are familiar to almost all users of socket screw products in the U.S.A. ASTM (American Society for Testing and Materials). Many ANSI documents list dimensional information but refer to ASTM specifications for materials, mechanical properties, and test criteria. ISO (International Standards Organization) is a standards group comprising 70 member nations. Its objective is to provide standards that will be completely universal and common to all countries subscribing. DIN (Deutsche Industries Normen) is the German standards group. NOTE: The proper tightening of threaded fasteners can have a significant effect on their performance. 36

39 A WARNING TO METRIC FASTENER USERS Metric socket cap screws are NOT sold in a single strength level like U.S. inch socket screws. Property Class General Material Strength Level, UTS min. MPa (KSI) International Standards Organization, ISO Property Class 8.8 Carbon Steel 800 (116) < M (120) M16 Property Class 10.9 Alloy Steel 1040 (151) Property Class 12.9 Alloy Steel 1220 (177) USA Standards ASTM A574M Alloy Steel 1220 (177) Unbrako Standards ASTM A574M Alloy Steel 1300 (189) M (181) > M16 STANDARDS The use of metric fasteners in the worldwide market has led to the creation of many standards. These standards specify the fastener requirements: dimensions, material, strength levels, inspection, etc. Different standards are the responsibility of various organizations and are not always identical. Unbrako supplies metric fasteners for maximum interchangeability with all standards. This Engineering Guide was published with the most current values, which are however subject to change by any standards organization at any time. 37

40 METRIC SOCKET HEAD CAP SCREWS Dimensions Threads: ANSI B1.13M, ISO 261, ISO 262 (coarse series only) Property Class: 12.9-ISO 898/1 J T H G L THREAD LENGTH SEE STOCK TABLE APPROX 45 A D THREAD SIZE 30 NOTES 1. Material: ASTM A574M, DIN912-alloy steel 2. Hardness: Rc Tensile Stress: 1300 MPa thru M16 size MPa over M16 size. 4. Yield Stress: 1170 MPa thru M16 size MPa over M16 size. 5. Thread Class: 4g 6g LENGTH TOLERANCE nominal screw length nominal screw diameter M1.6 M12 thru thru over M10 M20 20 tolerance on lgth., mm Up to 16 mm, incl. ±0.3 ±0.3 Over 16 to 50 mm, incl. ±0.4 ±0.4 ±0.7 Over 50 to 120 mm, incl. ±0.7 ±1.0 ±1.5 Over 120 to 200 mm, incl. ±1.0 ±1.5 ±2.0 Over 200 mm ±2.0 ±2.5 ±3.0 tensile single shear recommended ** strength strength of body seating torque thread A D H J G T UTS min. min. plain finish size min. nom. pitch max. max. max. nom. min. min. MPa kn lbs. kn lbs. N-m in-lbs. M M M M , M , , M , , M , , M , , M , , M , , ,200 *(M14) , , ,900 M , , ,900 M , , ,750 M , , ,700 *M , , ,900 *M , , ,100 *M , , ,580 *M , , , DIMENSIONS All dimensions in millimeters. Sizes in brackets not preferred for new designs. *Non-stock diameter. **Torque calculated in accordance with VDI 2230, Systematic Calculation of High Duty Bolted Joints, to induce approximately 800 MPa stress in screw threads. Torque values listed are for plain screws. (See Note, page 1.) MECHANICAL PROPERTIES APPLICATION DATA

41 SOCKET HEAD CAP SCREWS Metric Body and Grip Lengths L G L B L G is the maximum grip length and is the distance from the bearing surface to the first complete thread. L B is the minimum body length and is the length of the unthreaded cylindrical portion of the shank. LENGTH BODY and GRIP LENGTHS BODY AND GRIP LENGTH DIMENSIONS FOR METRIC SOCKET HEAD CAP SCREWS Nominal Size M1.6 M2 M2.5 M3 M4 M5 M6 M8 M10 M12 M14 M16 M20 M24 Nominal L Length L G L B L B G L G L B L G L B L G L B L G L B L G L B L G L B L G L B L G L B L G L B L G L B L G L B L G L B SOCKET HEAD CAP SCREWS (METRIC SERIES) PER ASME/ANSI B18.3.1M

42 METRIC SOCKET FLAT HEAD CAP SCREWS Dimensions Threads: ANSI B1.13M, ISO 262 (coarse series only) Applicable or Similar Specification: DIN 9427 General Note: Flat, countersunk head cap screws and button head cap screws are designed and recommended for moderate fastening applications: machine guards, hinges, covers, etc. They are not suggested for use in critical high strength applications where socket head cap screws should be used. NOTES 1. Material: ASTM F835M 2. Dimensions: B18.3.5M 3. Property Class: Hardness: Rc (alloy steel) 5. Tensile Stress: 1040MPa 6. Shear Stress: 630 MPa 7. Yield Stress: 945 MPa 8. Sizes: For sizes up to and including M20, head angle shall be 92 /90. For larger sizes head angle shall be 62 / Thread Class: 4g 6g J T L APPROX 45 A D THREAD SIZE S L T Head Angle See Note 6 H LENGTH TOLERANCE nominal screw diameter nominal M3 thru M24 screw length tolerance on lgth., mm Up to 16 mm, incl. ±0.3 Over 16 to 60 mm, incl. ±0.5 Over 60 mm ± DIMENSIONS APPLICATION DATA A D H T S L T J recommended seating torque** nom. thread plain size pitch max. max. ref. min. ref. min. nom. N-m in-lbs. M M M M M M M M M *M All dimensions in millimeters. *Non-stock Diameter **Torque calculated to induce 420 MPa in the screw threads. Torque values are for plain screws. (See Note, page 1.)

43 METRIC SOCKET BUTTON HEAD CAP SCREWS Dimensions Threads: ANSI B1.13M, ISO 262(coarse series only) Similar Specifications: DIN 9427, ISO 7380 General Note: Flat, countersunk head cap screws and button head cap screws are designed and recommended for moderate fastening applications: machine guards, hinges, covers, etc. They are not suggested for use in critical high strength applications where socket head cap screws should be used. NOTES 1. Material: ASTM F835M 2. Dimensions: ANSI B18.3.4M 3. Property Class: Hardness: Rc Tensile Stress: 1040 MPa 6. Shear Stress: 630 MPa 7. Yield Stress: 945 MPa 8. Bearing surface of head square with body within Thread Class: 4g 6g J T H S L APPROX 45 A THREAD SIZE R LENGTH TOLERANCE nominal screw diameter nominal M3 thru M16 screw length tolerance on lgth., mm Up to 16 mm, incl. ±0.3 Over 16 to 60 mm, incl. ±0.5 Over 60 mm ±0.8 DIMENSIONS APPLICATION DATA A H T R S J recommended seating torque** nom. thread plain size pitch max. max. min. ref. ref. nom. N-m in-lbs. M M M M M M M *M All dimensions in millimeters. *Non-stock Diameter **Torque calculated to induce 420 MPa in the screw threads. Torque values are for plain screws. (See Note, page 1.) 41

44 METRIC SOCKET HEAD SHOULDER SCREWS Threads: ANSI B 1.13 M, ISO 262 Similar Specifications: ANSI B18.3.3M, ISO 7379, DIN 9841 NOTES 1. Material: ASTM A574M alloy steel 2. Hardness: Rc Tensile Stress: 1100 MPa based on minimum thread neck area (J min.). 4. Shear Stress: 660 MPa 5. Concentricity: Body to head O.D. within 0.15 TIR when checked in a V block. Body to thread pitch diameter within 0.1 TIR when checked at a distance of 5.0 C from the shoulder at the threaded end. Squareness, concentricity, parallelism, and bow of body to thread pitch diameter shall be within 0.05 TIR per centimeter of body length with a maximum of 0.5 when seated against the shoulder in a threaded bushing and checked on the body at a distance of 2.5 B from the underside of the head. 6. Squareness: The bearing surface of the head shall be perpendicular to the axis of the body within a maximum deviation of Thread Class: 4g 6g J T H 45 LENGTH E 30 APPROX 45 A K D J THREAD SIZE 30 F I DIMENSIONS APPLICATION DATA A T D* K H G F I E J recommended seating torque** nom. thread size size pitch max. min. max. min. min. max. min. max. max. max. nom. N-m in-lbs. 6 M M M M M M M All dimensions in millimeters. *Shoulder diameter tolerance h8 (ISO R 286) **See Note, page 1. 42

45 METRIC DOWEL PINS Hardened and Ground Dimensions Applicable or Similar Specifications: ANSI B18.8.5M, ISO 8734 or DIN Installation warning: Dowel pins should not be installed by striking or hammering. Wear safety glasses or shield when pressing chamfered point end first. NOTES 1. Material: ANSI B18.85-alloy steel 2. Hardness: Rockwell C60 minimum (surface) Rockwell C (core) 3. Shear Stress: Calculated values based on 1050 MPa. 4. Surface Finish: 0.2 micrometer maximum A 0.2 L C B R DIMENSIONS A B calculated single recommended pin diameter point diameter C R shear strength hole size nominal crown height crown radius size max. min. max. min. max. min. kn pounds max. min , , , , , , , , , , All dimensions in millimeters. APPLICATION DATA 43

46 METRIC SOCKET SET SCREWS Knurled Cup Point and Plain Cup Point Dimensions Threads: ANSI B 1.13M, ISO 261, ISO 262 (coarse series only) Grade: 45H Applicable or Similar Specifications: ANSI B M, ISO 4029, DIN 916, DIN 915, DIN 914, DIN 913 NOTES 1. Material: ASTM F912M 2. Hardness: Rockwell C Angle: The cup angle is 135 maximum for screw lengths equal to or smaller than screw diameter. For longer lengths, the cup angle will be 124 maximum 4. Thread Class: 4g 6g KNURLED CUP POINT PLAIN CUP POINT LENGTH TOLERANCE nominal screw diameter nominal M1.6 thru M24 screw length tolerance on lgth., mm Up to 12 mm, incl. ±0.3 Over 12 to 50 mm, incl. ±0.5 Over 50 mm ±0.8 DIMENSIONS APPLICATION DATA All dimensions in millimeters. *Not applicable to screws with a length equal to or less than the diameter. See Note, page nom. D J max. L recommended* K min. preferred W seating torque thread size pitch max. plain cup knurled cup max. plain cup knurled cup nom. N-m in-lbs. MICROSIZE Plain Cup Only M M M STANDARD SIZE Knurled Cup Point Supplied Unless Plain Cup Point Is Specified M M M M M M M M M M

47 METRIC SOCKET SET SCREW Flat Point, Cone Point, Dog Point Styles Dimensions FLAT POINT CONE POINT DOG POINT DIMENSIONS flat point cone point dog point H nom. D J L J L nom. L thread min. min. min. V size pitch max. max. preferred max. preferred short lgth. long lgth. preferred max. M M M M M M M M M M

48 METRIC LOW HEAD CAP SCREWS Threads: ANSI B 1.13M, ISO 262 (coarse series only) Property Class: 10.9 Similar Specifications: DIN 7984, DIN 6912 NOTES 1. Material: ASTM A574M-alloy steel 2. Hardness: Rc Tensile Stress: 1040 MPa 4. Yield Stress: 940 MPa 5. Thread Class: 4g 6g J H G T L APPROX 45 A D THREAD SIZE L T DIMENSIONS APPLICATION DATA A D G T H L T J recommended* seating torque nom. thread plain size pitch max. max. min. min. max. min. nom. N-m in-lbs. M M M M M M M M All dimensions in millimeters. *Torque calculated to induce 620 MPa in the screw threads. Torque values are for plain screws. (See Note, page 1.) 46

49 METRIC HEXAGON KEYS Dimensions Mechanical Properties Socket Applications These UNBRAKO keys are made to higher requirements than ISO or DIN keys, which may not properly torque Class 12.9 cap screws. The strength and dimensional requirements are necessary to properly install the products in this catalog. Material: ANSI B M alloy steel Dimensions: ANSI B M Similar Specifications: DIN 911, ISO 2936 B C W METRIC KEY APPLICATION CHART socket cap screws flat head button head size std. head low socket cap socket cap shoulder socket set W height head screws screws screws screws 0.7 M M2 1.3 M M1.6/M2 M3 2.0 M2.5 M3 M3 M4 2.5 M3 M4 M4 M5 3.0 M4 M4 M5 M5 M6 M6 4.0 M5 M5 M6 M6 M8 M8 5.0 M6 M6 M8 M8 M10 M M8 M8 M10 M10 M12 M M10 M10 M12 M12 M16 M M12 M12 M16 M16 M20 M M14 M16 M20 M24 M M16 M20 M M20 M M M M M M48 DIMENSIONS MECHANICAL PROPERTIES key size W B C torsional shear torsional yield nominal strength minimum strength minimum max. min. mominal short arm long arm N-m In-lbs. N-m In-lbs * , , , , , , , , ,690 15,000 1,450 12, ,360 20,900 2,030 18, *200 *335 3,670 32,500 3,160 28, *224 *375 4,140 36,600 3,560 31, *250 *500 5,870 51,900 5,050 44, *315 *630 8,320 73,600 7,150 63, *355 *710 11, ,000 10,200 90,300 All dimensions in millimeters. *Non-stock sizes 47

50 ISO TOLERANCES FOR METRIC FASTENERS nominal dimension tolerance zone in mm (external measurements) over to h6 h8 h10 h11 h13 h14 h15 h16 js14 js15 js16 js17 m ±0.125 ±0.20 ±0.30 ± ±0.15 ±0.24 ±0.375 ± ±0.18 ±0.29 ±0.45 ± ±0.215 ±0.35 ±0.55 ± ±0.26 ±0.42 ±0.65 ± ±0.31 ±0.50 ±0.80 ± ±0.37 ±0.60 ±0.95 ± ±0.435 ±0.70 ±1.10 ± ±0.50 ±0.80 ±1.25 ± ±0.575 ±0.925 ±1.45 ± ±0.65 ±1.05 ±1.60 ± ±0.70 ±1.15 ±1.80 ± ±0.775 ±1.25 ±2.00 ±3.15 tolerance zone in mm H7 H8 H9 H11 H13 H ISO TOLERANCES FOR SOCKET SCREWS nominal dimension tolerance zone in mm over to C13 C14 D9 D10 D11 D12 EF8 E11 E12 Js9 K ± ± ± References ISO R 286 ISO 4759/I ISO 4759/II ISO 4759/III Notes ANSI standards allow slightly wider tolerances for screw lengths than ISO and DIN. The table is intended to assist in the design with metric fasteners. For tolerances not listed here refer to the complete standards. 48

51 ISO TOLERANCES Tolerances for Metric Fasteners The tolerances in the tables below are derived from ISO standard: ISO 4759 The tables show tolerances on the most common metric fasteners. However, occasionally some slight modifications are made. Item DIN Item DIN Notes Product grade A applies to sizes up to M24 and length not exceeding 10 x diameter or 150 mm, whatever is shorter. Product grade B applies to the sizes above M24 and all sizes with lengths, greater than 10 x diameter or 150 mm, whichever is shorter. Feature Hexagon Sockets Tolerance s * ** 0.7 EF8 0.9 JS9 1.3 K9 1.5 D9 D D10 D11 3 D11 4 E E11 E >14 D12 *Tolerance zones for socket set screws **Tolerance zones for socket head cap screws Note: For S 0.7 to 1.3 the actual allowance in the product standards has been slightly modified for technical reasons. 49

52 CONVERSION CHART SI UNITS & CONVERSIONS FOR CHARACTERISTICS OF MECHANICAL FASTENERS conversion approximate property unit symbol from to multiply by equivalent length meter m inch mm mm = 1 in. centimeter cm inch cm mm = 1ft. millimeter mm foot mm m = in. mass kilogram kg once g g = 1 oz. gram g pound kg kg = 2.2 lb. = 35 oz. tonne (megagram) t ton (2000 lb) kg t = 2200 lbs. density kilogram per kg/m 3 pounds per cu. ft. kg/m kg/m = 1 lb/ft. 3 cubic meter temperature deg. Celsius C deg. Fahr. C ( F 32) x 5/9 0 C = 32 F 100 C = 212 F area square meter m 2 sq. in. mm mm 2 = 1 in. 2 square millimeter mm 2 sq. ft. m m 2 = 11 ft. 2 volume cubic meter m 3 cu. in. mm mm 3 = 1 in. 3 cubic centimeter cm 3 cu.ft. m m 3 = 35 ft. 3 cubic millimeter mm 3 cu. yd. m m 3 = 1.3 yd. 3 force newton N ounce (Force) N.278 1N = 3.6 ozf kilonewton kn pound (Force) kn N = 1 lbf meganewton MN Kip MN kN = 225 lbf stress megapascal MPa pound/in 2 (psi) MPa MPa = 145 psi newtons/sq.m N/m 2 Kip/in 2 (ksi) MPa MPa = 1 ksi torque newton-meter N m inch-ounce N-m N m = 140 in. oz. inch-pound N-m.113 1N m = 9 in. lb. foot-pound N-m N m =.75 ft. lb. 1.4 N m = 1 ft. lb. 50

53 TABLE OF CONTENTS Technical Section Page Screw Fastener Theory and Application. 52 Joint Diagrams 56 The Torque-Tension Relationship. 62 Stripping Strength of Tapped Holes. 64 High-Temperature Joints. 68 Corrosion In Threaded Fasteners. 71 Impact Performance.. 75 Product Engineering Bulletin. 79 Metric Threads. 80 Through-Hole Preparation 82 Drill and Counterbore Sizes.. 83 Hardness-Tensile Conversion Chart.. 84 Thread Stress Area 85 Optional Part Numbering System 86 thru 89 IMPORTANT The technical discussions represent typical applications only. The use of the information is at the sole discretion of the reader. Because applications vary enormously, UNBRAKO does not warrant the scenarios described are appropriate for any specific application. The reader must consider all variables prior to using this information. 51

54 INSTALLATION CONTROL Several factors should be considered in designing a joint or selecting a fastener for a particular application. Single Shear JOINT DESIGN AND FASTENER SELECTION. Joint Length The longer the joint length, the greater the total elongation will occur in the bolt to produce the desired clamp load or preload. In design, if the joint length is increased, the potential loss of preload is decreased. Joint Material If the joint material is relatively stiff compared to the bolt material, it will compress less and therefore provide a less sensitive joint, less sensitive to loss of preload as a result of brinelling, relaxation and even loosening. Thread Stripping Strength Considering the material in which the threads will be tapped or the nut used, there must be sufficient engagement length to carry the load. Ideally, the length of thread engagement should be sufficient to break the fastener in tension. When a nut is used, the wall thickness of the nut as well as its length must be considered. An estimate, a calculation or joint evaluation will be required to determine the tension loads to which the bolt and joint will be exposed. The size bolt and the number necessary to carry the load expected, along with the safety factor, must also be selected. The safety factor selected will have to take into consideration the consequence of failure as well as the additional holes and fasteners. Safety factors, therefore, have to be determined by the designer. SHEAR APPLICATIONS Shear Strength of Material Not all applications apply a tensile load to the fastener. In many cases, the load is perpendicular to the fastener in shear. Shear loading may be single, double or multiple loading. There is a relationship between the tensile strength of a material and its shear strength. For alloy steel, the shear strength is 60% of its tensile strength. Corrosion resistant steels (e.g. 300-Series stainless steels) have a lower tensile/shear relationship and it is usually 50-55% Single/Double Shear Single shear strength is exactly one-half the double shear value. Shear strength listed in pounds per square inch (psi) is the shear load in pounds divided by the cross sectional area in square inches. Double Shear OTHER DESIGN CONSIDERATIONS Application Temperature For elevated temperature, standard alloy steels are useful to about 550 F 600 F. However, if plating is used, the maximum temperature may be less (eg. cadmium should not be used over 450 F. Austenitic stainless steels (300 Series) may be useful to 800 F. They can maintain strength above 800 F but will begin to oxidize on the surface. Corrosion Environment A plating may be selected for mild atmospheres or salts. If plating is unsatisfactory, a corrosion resistant fastener may be specified. The proper selection will be based upon the severity of the corrosive environment. FATIGUE STRENGTH S/N Curve Most comparative fatigue testing and specification fatigue test requirements are plotted on an S/N curve. In this curve, the test stress is shown on the ordinate (y-axis) and the number of cycles is shown on the abscissa (x-axis) in a lograthmic scale. On this type curve, the high load to low load ratio must be shown. This is usually R =.1, which means the low load in all tests will be 10% of the high load. Maximum Stress (psi) 100,000 90,000 80,000 70,000 60,000 50,000 40,000 30,000 20,000 10,000 Typical Unbrako Socket Head Cap Screws S-N Curve for Finite Fatigue Life Curve represents 90% probability of survival SPS R= Cycles to Failure Effect of Preload Increasing the R to.2,.3 or higher will change the curve shape. At some point in this curve, the number of cycles will reach 10 million cycles. This is considered the 52

55 SCREW FASTENER THEORY & APPLICATIONS endurance limit or the stress at which infinite life might be expected. Modified Goodman/ Haigh Soderberg Curve The S/N curve and the information it supplies will not provide the information needed to determine how an individual fastener will perform in an actual application. In application, the preload should be higher than any of the preloads on the S/N curve. Therefore, for application information, the modified Goodman Diagram and/or the Haigh Soderberg Curve are more useful. These curves will show what fatigue performance can be expected when the parts are properly preloaded. Stress (ksi) MODIFIED GOODMAN DIAGRAM UNBRAKO TYPICAL SHCS #8 32 3/ x 10 6 Cycles Run-Out 90% Probability of Survival 3/8 24 5/8 11 VDI 2230 Prediction for #8 RTBHT (99% PS) VDI 2230 Prediction for 5/8 RTBHT (99% PS) Mean Stress (ksi) METHODS OF PRELOADING SPS 1/4 20 (2 x 10 6 cycles) Elongation The modulus for steel of 30,000,000 (thirty million) psi means that a fastener will elongate.001 in/in of length for every 30,000 psi in applied stress. Therefore, if 90,000 psi is the desired preload, the bolt must be stretched.003 inches for every inch of length in the joint. This method of preloading is very accurate but it requires that the ends of the bolts be properly prepared and also that all measurements be very carefully made. In addition, direct measurements are only possible where both ends of the fastener are available for measurement after installation. Other methods of measuring lengths changes are ultrasonic, strain gages and turn of the nut. Torque By far, the most popular method of preloading is by torque. Fastener manufacturers usually have recommended seating torques for each size and material fastener. The only requirement is the proper size torque wrench, a conscientious operator and the proper torque requirement. Strain Since stress/strain is a constant relationship for any given material, we can use that relationship just as the elongation change measurements were used previously. Now, however, the strain can be detected from strain gages applied directly to the outside surface of the bolt or by having a hole drilled in the center of the bolt and the strain gage installed internally. The output from these gages need instrumentation to convert the gage electrical measurement method. It is, however, an expensive method and not always practical. Turn of the Nut The nut turn method also utilizes change in bolt length. In theory, one bolt revolution (360 rotation) should increase the bolt length by the thread pitch. There are at least two variables, however, which influence this relationship. First, until a snug joint is obtained, no bolt elongation can be measured. The snugging produces a large variation in preload. Second, joint compression is also taking place so the relative stiffnesses of the joint and bolt influences the load obtained. VARIABLES IN TORQUE Coefficient of Friction Since the torque applied to a fastener must overcome all friction before any loading takes place, the amount of friction present is important. In a standard unlubricated assembly, the friction to be overcome is the head bearing area and the thread-tothread friction. Approximately 50% of the torque applied will be used to overcome this head-bearing friction and approximately 35% to overcome the thread friction. So 85% of the torque is overcoming friction and only 15% is available to produce bolt load. If these interfaces are lubricated (cadmium plate, molybdenum disulfide, anti-seize compounds, etc.), the friction is reduced and thus greater preload is produced with the same torque. The change in the coefficient of friction for different conditions can have a very significant effect on the slope of the torque tension curve. If this is not taken into consideration, the proper torque specified for a plain unlubricated bolt may be sufficient to yield or break a lubricated fastener. Thread Pitch The thread pitch must be considered when a given stress is to be applied, since the cross-sectional area used for stress calculations is the thread tensile stress area and is different for coarse and fine threads. The torque recommendations, therefore, are slightly higher for fine threads than for coarse threads to achieve the same stress. Differences between coarse and fine threads. Coarse Threads are more readily available in industrial fasteners. easier to assemble because of larger helix angle. require fewer turns and reduce cross threading. higher thread stripping strength per given length. less critical of tap drill size. not as easily damaged in handling. 53

56 Their disadvantages are lower tensile strength. reduced vibrational resistance. coarse adjustment. Fine Threads provide... higher tensile strength. greater vibrational resistance. finer adjustment. Their disadvantages are easier cross threaded. threads damaged more easily by handling. tap drill size slightly more critical. slightly lower thread stripping strength. Other Design Guidelines In addition to the joint design factors discussed, the following considerations are important to the proper use of high-strength fasteners. Adequate thread engagement should be guaranteed by use of the proper mating nut height for the system. Minimum length of engagement recommended in a tapped hole depends on the strength of the material, but in all cases should be adequate to prevent stripping. Specify nut of proper strength level. The bolt and nut should be selected as a system. Specify compatible mating female threads. 2B tapped holes or 3B nuts are possibilities. Corrosion, in general, is a problem of the joint, and not just of the bolt alone. This can be a matter of galvanic action between dissimilar metals. Corrosion of the fastener material surrounding the bolt head or nut can be critical with high-strength bolting. Care must be exercised in the compatibility of joint materials and/or coatings to protect dissimilar metals. PROCESSING CONTROL The quality of the raw material and the processing control will largely affect the mechanical properties of the finished parts. MATERIAL SELECTION The selection of the type of material will depend on its end use. However, the control of the analysis and quality is a critical factor in fastener performance. The material must yield reliable parts with few hidden defects such as cracks, seams, decarburization and internal flaws. FABRICATION METHOD Head There are two general methods of making bolt heads, forging and machining. The economy and grain flow resulting from forging make it the preferred method. The temperature of forging can vary from room temperature to 2000 F. By far, the greatest number of parts are cold upset on forging machines known as headers or boltmakers. For materials that do not have enough formability for cold forging, hot forging is used. Hot forging is also used for bolts too large for cold upsetting due to machine capacity. The largest cold forging machines can make bolts up to 1-1/2 inch diameter. For large quantities of bolts, hot forging is more expensive then cold forging. Some materials, such as stainless steel, are warm forged at temperatures up to 1000 F. The heating results in two benefits, lower forging pressures due to lower yield strength and reduced work hardening rates. Machining is the oldest method and is used for very large diameters or small production runs. The disadvantage is that machining cuts the metal grain flow, thus creating planes of weakness at the critical head-to-shank fillet area. This can reduce tension fatigue performance by providing fracture planes. Fillets The head-to-shank transition (fillet) represents a sizable change in cross section at a critical area of bolt performance. It is important that this notch effect be minimized. A generous radius in the fillet reduces the notch effect. However, a compromise is necessary because too large a radius will reduce load-bearing area under the head. Composite radii such as elliptical fillets, maximize curvature on the shank side of the fillet and minimize it on the head side to reduce loss of bearing area on the load-bearing surface. Critical Fastener Features Head-Shank-Fillet: This area on the bolt must not be restricted or bound by the joint hole. A sufficient chamfer or radius on the edge of the hole will prevent interference that could seriously reduce fatigue life. Also, if the bolt should seat on an unchamfered edge, there might be serious loss of preload if the edge breaks under load. Threads Threads can be produced by grinding, cutting or rolling. In a rolled thread, the material is caused to flow into the thread die contour, which is ground into the surface during the manufacture of the die. Machines with two or three circular dies or two flat dies are most common. Thread cutting requires the least tooling costs and is by far the most popular for producing internal threads. It is the most practical method for producing thin wall parts and the only technique available for producing large diameter parts (over 3 inches in diameter). Thread grinding yields high dimensional precision and affords good control of form and finish. It is the only practical method for producing thread plug gages. Both machining and grinding have the disadvantage of cutting material fibers at the most critical point of performance. The shape or contour of the thread has a great effect on the resulting fatigue life. The thread root should be large and well rounded without sharp corners or stress risers. Threads with larger roots should always be used for harder materials. In addition to the benefits of grain flow and controlled shape in thread rolling, added fatigue life can result when the rolling is performed after heat treatment. 54

57 SCREW FASTENER THEORY & APPLICATIONS This is the accepted practice for high fatigue performance bolts such as those used in aircraft and space applications. FASTENER POINT END RELATIVE INTERNAL STRESS AT FIRST ENGAGED THREAD FASTENER HEAD END EVALUATING PERFORMANCE Mechanical Testing In the fastener industy, a system of tests and examinations has evolved which yields reliable parts with proven performance. Some tests are conducted on the raw material; some on the finished product. There always seems to be some confusion regarding mechanical versus metallurgical properties. Mechanical properties are those associated with elastic or inelastic reaction when force is applied, or that involve the relationship between stress and strain. Tensile testing stresses the fastener in the axial direction. The force at which the fastener breaks is called the breaking load or ultimate tensile strength. Load is designated in pounds, stress in pounds per square inch and strain in inches per inch. When a smooth tensile specimen is tested, the chart obtained is called a Stress-Strain Curve. From this curve, we can obtain other useful data such as yield strength. The method of determining yield is known as the offset method and consists of drawing a straight line parallel to the stress strain curve but offset from the zero point by a specified amount. This value is usually 0.2% on the strain ordinate. The yield point is the intersection of the stressstrain curve and the straight line. This method is not applicable to fasteners because of the variables introduced by their geomety. When a fastener tensile test is plotted, a load/ elongation curve can be obtained. From this curve, a yield determination known as Johnson s 2/3 approximate method for determination of yield strength is used to establish fastener yield, which will be acceptable for design purposes. It is not recommended for quality control or specification requirements. Torque-tension testing is conducted to correlate the required torque necessary to induce a given load in a mechanically fastened joint. It can be performed by hand or machine. The load may be measured by a tensile machine, a load cell, a hydraulic tensile indicator or by a strain gage. Fatigue tests on threaded fasteners are usually alternating tension-tension loading. Most testing is done at more severe strain than its designed service load but ususally below the material yield strength. Shear testing, as previously mentioned, consists of loading a fastener perpendicular to its axis. All shear testing should be accomplished on the unthreaded portion of the fastener. Checking hardness of parts is an indirect method for testing tensile strength. Over the years, a correlation of tensile strength to hardness has been obtained for most materials. See page 83 for more detailed information. Since hardness is a relatively easy and inexpensive test, it makes a good inspection check. In hardness checking, it is very important that the specimen be properly prepared and the proper test applied. Stress durability is used to test parts which have been subjected to any processing which may have an embrittling effect. It requires loading the parts to a value higher than the expected service load and maintaining that load for a specified time after which the load is removed and the fastener examined for the presence of cracks. Impact testing has been useful in determining the ductile brittle transformation point for many materials. However, because the impact loading direction is transverse to a fastener's normal longitude loading, its usefulness for fastener testing is minimal. It has been shown that many fastener tension impact strengths do not follow the same pattern or relationship of Charpy or Izod impact strength. Metallurgical Testing Metallurgical testing includes chemical composition, microstructure, grain size, carburization and decarburization, and heat treat response. The chemical composition is established when the material is melted. Nothing subsequent to that process will influence the basic composition. The microstructure and grain size can be influenced by heat treatment. Carburization is the addition of carbon to the surface which increases hardness. It can occur if heat treat furnace atmospheres are not adequately controlled. Decarburization is the loss of carbon from the surface, making it softer. Partial decarburization is preferable to carburization, and most industrial standards allow it within limits. In summary, in order to prevent service failures, many things must be considered: The Application Requirements Strength Needed Safety Factors Tension/Shear/Fatigue Temperature Corrosion Proper Preload The Fastener Requirements Material Fabrication Controls Performance Evaluations 55

58 AN EXPLANATION OF JOINT DIAGRAMS When bolted joints are subjected to external tensile loads, what forces and elastic deformation really exist? The majority of engineers in both the fastener manufacturing and user industries still are uncertain. Several papers, articles, and books, reflecting various stages of research into the problem have been published and the volume of this material is one reason for confusion. The purpose of this article is to clarify the various explanations that have been offered and to state the fundamental concepts which apply to forces and elastic deformations in concentrically loaded joints. The article concludes with general design formulae that take into account variations in tightening, preload loss during service, and the relation between preloads, external loads and bolt loads. The Joint Diagram Forces less than proof load cause elastic strains. Conversely, changes in elastic strains produce force variations. For bolted joints this concept is usually demonstrated by joint diagrams. The most important deformations within a joint are elastic bolt elongation and elastic joint compression in the axial direction. If the bolted joint in Fig. 1 is subjected to the preload F i the bolt elongates as shown by the line OB in Fig. 2A and the joint compresses as shown by the line OJ. These two lines, representing the spring characteristics of the bolt and joint, are combined into one diagram in Fig. 2B to show total elastic deformation. If a concentric external load F e is applied under the bolt head and nut in Fig. 1, the bolt elongates an additional amount while the compressed joint members partially relax. These changes in deformation with external loading are the key to the interaction of forces in bolted joints. In Fig. 3A the external load F e is added to the joint diagram Fe is located on the diagram by applying the upper end to an extension of OB and moving it in until the lower end contacts OJ. Since the total amount of elastic deformation (bolt plus joint) remains constant for a given preload, the external load changes the total bolt elongation to l B + λ and the total joint compression to l J λ. In Fig. 3B the external load F e is divided into an additional bolt load F eb and the joint load F ej, which unloads the compressed joint members. The maximum bolt load is the sum of the load preload and the additional bolt load: load must then be applied to the bolt. If the external load is alternating, the increased stress levels on the bolt produce a greatly shortened fatigue life. When seating requires a certain minimum force or when transverse loads are to be transformed by friction, the minimum clamping load F J min is important. F J min = F B max F e Fig. 1 (above) Joint components Fig. 2 Joint diagram is obtained by combining load vs. deformation diagrams of bolt and joints. Fig. 3 The complete simple joint diagrams show external load F e added (A), and external load divided into an additional bolt load F eb and reduction in joint compression F ej (B). Joint diagram (C) shows how insufficient preload F i causes excessive additional bolt load F eb. F B max = F i + F eb If the external load Fe is an alternating load, F eb is that part of F e working as an alternating bolt load, as shown in Fig. 3B. This joint diagram also illustrates that the joint absorbs more of the external load than the bolt subjected to an alternating external load. The importance of adequate preload is shown in Fig. 3C. Comparing Fig. 3B and Fig. 3C, it can be seen that F eb will remain relatively small as long as the preload F i is greater than F ej. Fig. 3C represents a joint with insufficient preload. Under this condition, the amount of external load that the joint can absorb is limited, and the excess 56

59 JOINT DIAGRAMS Spring Constants To construct a joint diagram, it is necessary to determine the spring rates of both bolt and joint. In general, spring rate is defined as: K = F l From Hook s law: l = lf EA Therefore: K = EA l To calculate the spring rate of bolts with different cross sections, the reciprocal spring rates, or compliances, of each section are added: 1 = K B K 1 K 2 K n Thus, for the bolt shown in Fig. 4: 1 = 1 0.4d + l 1 + l 2 + l d K B E ( A 1 A 1 A 2 A m A m ) where d = the minor thread diameter and A m = the area of the minor thread diameter This formula considers the elastic deformation of the head and the engaged thread with a length of 0.4d each. Calculation of the spring rate of the compressed joint members is more difficult because it is not always obvious which parts of the joint are deformed and which are not. In general, the spring rate of a clamped part is: When the outside diameter of the joint is smaller than or equal to the bolt head diameter, i.e.,as in a thin bushing, the normal cross sectioned area is computed: A s = π (D 2 c D 2 h ) 4 where D c = OD of cylinder or bushing and D h = hole diameter When the outside diameter of the joint is larger than head or washer diameter D H, the stress distribution is in the shape of a barrel, Fig 5. A series of investigations proved that the areas of the following substitute cylinders are close approximations for calculating the spring contents of concentrically loaded joints. When the joint diameter D J is greater than D H but less than 3D H ; K J = EA S l J -25 where A s is the area of a substitute cylinder to be determined d -30 I I 2 d I j Fig. 4 Analysis of bolt lengths contributing to the bolt spring rate. 0.4d I 3 Fig. 5 Lines of equal axial stresses in a bolted joint obtained by the axisymmetric finite element method are shown for a 9/16 18 bolt preloaded to 100 KSI. Positive numbers are tensile stresses in KSI; negative numbers are compressive stresses in KSI. 57

60 A s = π (D 2 H D 2 h ) 4 + π D J D 1 H l J + l J 2 8 (DH )( 5 100) When the joint diameter D J is equal to or greater than 3D H : A s = π [(D H l J ) 2 D 2 h ] 4 These formulate have been verified in laboratories by finite element method and by experiments. Fig. 6 shows joint diagrams for springy bolt and stiff joint and for a stiff bolt and springy joint. These diagrams demonstrate the desirability of designing with springy bolt and a stiff joint to obtain a low additional bolt load F eb and thus a low alternating stress. The Force Ratio Due to the geometry of the joint diagram, Fig. 7, F eb = K e K B K B + K J Defining Φ = K B K B + K J F eb = F e Φ and Φ, called the Force Ratio, = F eb F e For complete derivation of Φ, see Fig. 7. To assure adequate fatigue strength of the selected fastener the fatigue stress amplitude of the bolt resulting from an external load F e is computed as follows: σ B = ± F eb/2 or σ B = ± A m Φ F e 2 A m Effect of Loading Planes The joint diagram in Fig 3, 6 and 7 is applicable only when the external load F e is applied at the same loading planes as the preloaded F i, under the bolt head and the nut. However, this is a rare case, because the external load usually affects the joint somewhere between the center of the joint and the head and the nut. When a preloaded joint is subjected to an external load F e at loading planes 2 and 3 in Fig. 8, F e relieves the compression load of the joint parts between planes 2 and 3. The remainder of the system, the bolt and the joint parts between planes 1-2 and 3-4, feel additional load due to F e applied planes 2 and 3, the joint material between planes 2 and 3 is the clamped part and all other joint members, fastener and remaining joint material, are clamping parts. Because of the location of the loading planes, the joint diagram changes from black line to the blue line. Consequently, both the additional bolt load F B max decrease significantly when the loading planes of F e shift from under the bolt head and nut toward the joint center. Determination of the length of the clamped parts is, however, not that simple. First, it is assumed that the external load is applied at a plane perpendicular to the bolt axis. Second, the distance of the loading planes from each other has to be estimated. This distance may be expressed as the ratio of the length of clamped parts to the total joint length. Fig. 9 shows the effect of two different loading planes on the bolt load, both joints having the same preload F i and the same external load F e. The lengths of the clamped parts are estimated to be 0.75l J for joint A, and 0.25l J for joint B. In general, the external bolt load is somewhere between F eb = 1ΦF e for loading planes under head and nut and F eb = 0ΦF e = 0 when loading planes are in the joint center, as shown in Fig. 10. To consider the loading planes in calculation, the formula: F e 2 F e 2 F e 2 F e 2 F e 2 F e 2 F e 2 F e 2 Fig. 6 Joint diagram of a springy bolt in a stiff joint (A), is compared to a diagram of a stiff bolt in a springy joint (B). Preload F i and external load F e are the same but diagrams show that alternating bolt stresses are significantly lower with a spring bolt in a stiff joint. 58

61 JOINT DIAGRAMS F e 2 F e nl j I j 3 4 F e 2 F e 2 Fig. 7 Analysis of external load F e and derivation of Force Ratio Φ. F i tan α = = K B and tan β = Fi = K J l B l J λ = F eb F = ej FeB F = = ej or tan α tan β K B K J F ej = λ tan β and F eb = λ tan α Since F e = F eb + F ej F e = F eb + λ tan β Substituting F eb tan α for λ produces: F e = F eb + F eb tan β tan α Multiplying both sides by tan α: F e tan α = F eb (tan α + tan β) and F F eb = e tan α tan α tan β Substituting K B for tan α and K J for tan β A Fig. 8 Joint diagram shows effect of loading planes of F e on bolt loads F eb and F B max. Black diagram shows F eb and F B max resulting from F e applied in planes 1 and 4. Orange diagram shows reduced bolt loads when Fe is applied in planes 2 and 3. F e F e Estimated: F eb = F e Defining Φ = F B K B + K J K B K B + K J F eb = Φ F e Φ = F eb F e and it becomes obvious why Φ is called force ratio. B F e F e Fig. 9 When external load is applied relatively near bolt head, joint diagram shows resulting alternating stress α B (A). When same value external load is applied relatively near joint center, lower alternating stress results (B). 59

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